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GCF of 297/80, 527/618

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 297/80, 527/618 i.e 1/24720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 297/80, 527/618.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 297/80,527/618?

Given fractions are 297/80,527/618

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 297/80,527/618, numerators are 297,527

Denominators are 80,618

The GCF of 297,527 is 1 .

LCM of 80,618 is 24720.

The greatest common factor of 297/80,527/618 = [GCF of 297,527]/[LCM of 80,618]= 1/24720

Therefore, the GCF of 297/80,527/618 is 1/24720.

Greatest Common Factor of 297,527

To find the highest common factor of 297,527, we have to find the factors of both numbers and list the highest common factor.

The factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297

The factors of 527 are 1, 17, 31, 527

The HCF of 297,527 is 1.

Lets's calculate GCF of 297,527

Greatest Common Factor (GCF) of 297,527 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 297,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,527 By Matching Biggest Common Factor Method

Now, list down the factors of 297

:

1,3,9,11,27,33,99,297

Now, list down the factors of 527

:

1,17,31,527

Greatest Common Factor

We found the factors 297,527 . The biggest common factor number is the GCF number.
So the greatest common factor 297,527 is 1.

Lets's calculate LCM of 80,618

Lowest Common Multiple of 80,618 using Common Division

2 80, 618
40, 309

∴ So the LCM of the given numbers is 2 x 40 x 309 = 24720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24720

Therefore, the GCF of Fractions 297/80,527/618 is 1/24720

Least Common Multiple of 80,618 with GCF Formula

Least Common Multiple of 80,618 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 80,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,618) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(80,618) x common factors =2 x 1 = 2

LCM(80,618) = ( 80 × 618 ) / 2

LCM(80,618) = 49440 / 2

LCM(80,618) = 24720


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FAQs on GCF of Fractions of 297/80, 527/618

1. What is the HCF of 297,527?

The HCF of 297,527 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 297/80, 527/618?

Answer: GCF of Numerators as per given numbers 297/80, 527/618 is

GCF of Numerators i.e. for 297,527 is 1

LCM of denominators i.e. for 80,618 is 24720.

Thus, GCF of Fractions is 1/24720.Finally, GCF of Fractions for 297/80, 527/618 is 1/24720.